## Precalculus Textbook 8th Edition Section 2.3 Exercise 28 Solution

**Question**:

Describe the End behavior of the polynomial function using and .

f(x) = x^{3} – x^{4} + 3x^{2} – 2x + 7

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**Solution**:

Given function is f(x) = x^{3} – x^{4} + 3x^{2} – 2x + 7 = -x^{4} + x^{3 }+ 3x^{2} – 2x + 7

The concept of the end behavior is as below.

Thus,

At x tends to -infinity, f(x) tends to -infinity.

At x tends to infinity, f(x) tends to -infinity.

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